Random Periodic Solutions of Random Dynamical Systems

Abstract

In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a $C^1$ perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.

References in corpus (1)

• Stationary Solutions of SPDEs and Infinite Horizon BDSDEs

Cited by in corpus (5)

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• Random Periodic Solutions of SPDEs via Integral Equations and Wiener-Sobolev Compact Embedding
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• Stochastic Bifurcation of Pathwise Random Almost Periodic and Almost Automorphic Solutions for Random Dynamical Systems